高空强爆炸X射线辐照铝靶板动响应的数值模拟

余润洲; 张昆; 汤文辉

doi:10.11883/bzycj-2024-0082

高空强爆炸X射线辐照铝靶板动响应的数值模拟

doi: 10.11883/bzycj-2024-0082

国防科技大学理学院，湖南长沙 410073

详细信息

作者简介:
余润洲（2001－　），男，硕士研究生，yurunzhou19@nudt.edu.cn

通讯作者:
张　昆（1989－　），男，博士，讲师，zhangkun1989@nudt.edu.cn

中图分类号: O347.3; O434.19
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- 被引次数: 0
出版历程
- 收稿日期: 2024-03-27
- 修回日期: 2024-05-30
- 网络出版日期: 2024-05-30
- 刊出日期: 2025-01-01

A dynamic response simulation of aluminum plate target induced by high-altitude nuclear detonation X-ray

College of Science, National University of Defense Technology, Changsha 410073, Hunan, China

摘要

摘要: 高空强爆炸所产生的X射线辐照至导弹壳体结构时产生的汽化反冲冲量（blow-off impulse，BOI）及热激波，能够引起目标的动响应破坏。现有的Whitener、BBAY和MBBAY理论模型仅能给出一维近似BOI值，无法处理复杂三维情况并给出对应的热激波峰值压力p，因此，对该问题的研究非常依赖数值计算。利用X射线热激波数值计算程序TSHOCK3D对矩形铝靶板在0.1~3.0 keV范围的普朗克黑体温度和220~400 J/cm²辐射能通量下的汽化反冲冲量及峰值压力进行计算，并与理论模型作了对比分析。结果表明，TSHOCK3D程序可以得到可靠的结果，正辐照靶板中心处近似一维工况下的BOI与Whitener、BBAY和MBBAY三个理论模型下的BOI基本相符。通过单变量分析可得，靶板中BOI和峰值压力p均与入射能通量呈近似线性关系；而对于不同的黑体温度，BOI和峰值压力则在1.5~2.0 keV处存在极大值。
- X射线 /
- 汽化反冲冲量 /
- 热激波 /
- TSHOCK3D
Abstract: When X-rays generated by high-altitude nuclear detonation irradiates on the shell structure of missile, blow-off impulse (BOI) and thermal shock waves generated may produce dynamic response and damage on it. The existing three one-dimensional theoretical models, Whitener, BBAY, and MBBAY, can only provide approximate BOI values and accurate results of peak pressure and other information are inaccessible. Solving this problem requires numerical calculations based on real physical laws. The numerical simulation program TSHOCK3D for X-ray thermal excitation wave is used to calculate the BOI and peak pressure to make a comparative analysis. An aluminum plate with a length and width of 4 mm and a thickness of 1 mm is set as the target for X-ray radiation. The range of the working conditions is 0.1−3.0 keV for the Planck’s blackbody temperatures and radiant energy flux are in the range of 220−400 J/cm². The results indicate that the TSHOCK3D can give the results effectively and reliably. The simulation results are consistent with the theoretical models mentioned above. The BOI and peak pressure are approximately linear with the energy flux, while the maximum value exist for different blackbody temperatures.
- X-ray /
- blow-off impulse /
- thermal shock wave /
- TSHOCK3D

HTML全文

图 1 X射线热激波产生原理示意图^[1]

Figure 1. Schematic diagram of X-ray thermal shock wave generation^[1]

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图 2 计算流程图

Figure 2. Flowchart of the simulation

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图 3 靶板及X射线载荷示意图^[16]

Figure 3. Schematic diagram of target and X-ray loading^[16]

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图 4 100 ns时的能量沉积云图

Figure 4. Energy deposition contour at 100 ns

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图 5 二维及三维压力云图

Figure 5. 2D and 3D pressure contours

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图 6 TSHOCK3D计算结果与理论模型结果的对比

Figure 6. Comparison between TSHOCK3D calculation and theoretical models

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图 7 BOI与峰值压力计算结果

Figure 7. Results of BOI and peak pressure

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图 8 BOI和峰值压力随能通量的变化曲线

Figure 8. BOI and peak pressure varying with flux

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图 9 BOI和峰值压力随黑体温度的变化曲线

Figure 9. BOI and peak pressure varying with temperature

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表 1 不同核武器爆炸的α_i、 $kT_i$ 虚拟参考值^[2]

Table 1. Reference values of $\alpha _i$ and $k{T_i}$ for different nuclear explosions^[2]

爆炸类型	i	α_i	kT_i/keV
裂变武器	1	1.00	1.0
普通热核武器	1	0.30	0.8～1.0
	2	0.67	3.0～4.0
	3	0.03	12.0～14.0
增强辐射武器	1	0.05	0.8～1.0
	2	0.70	3.0～5.0
	3	0.25	13.0～14.0

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表 2 铝的相关参数^[19]

Table 2. Parameters of aluminum^[19]

弹性参数			塑性参数	物态方程参数
E/GPa	G/GPa	v	${\sigma }_{{\mathrm{y}}}$ /GPa	${\rho }_{0}$ /（g·cm⁻³）	${c}_{0}$ /（m·s⁻¹）	s	E₀/（kJ·g⁻¹）	${\varGamma }_{0}$
71.1	27.1	0.33	0.5	2.7	5400	1.35	10.89	2.13

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